Finding the Third Proportional to 7,782 and 12,321

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782 : 12,321 = 12,321 : x
2. Step 2: Convert to fraction form
   7,782/12,321 = 12,321/x
3. Step 3: Cross multiply
   7,782x = 12,321 × 12,321
4. Step 4: Simplify right side
   7,782x = 151,807,041
5. Step 5: Solve for x
   x = 151,807,041/7,782
6. Step 6: Final answer
   x = 19,507.46